Results 111 to 120 of about 5,938,973 (323)

The arithmetic-geometric mean inequality (III) [PDF]

open access: yes, 2016
The arithmetic-geometric mean inequality: √ab ≤ (a+b)/2, for a,b≥ 0Ensino Médio::MatemáticaEducação Superior::Ciências Exatas e da Terra ...
Rosa, Félix Martínez de la   +1 more
core   +2 more sources

Optimal bounds for two Sándor-type means in terms of power means

open access: yesJournal of Inequalities and Applications, 2016
In the article, we prove that the double inequalities M α ( a , b ) < S Q A ( a , b ) < M β ( a , b ) $M_{\alpha }(a,b)< S_{QA}(a,b)< M_{\beta}(a,b)$ and M λ ( a , b ) < S A Q ( a , b ) < M μ ( a , b ) $M_{\lambda }(a,b)< S_{AQ}(a,b)< M_{\mu}(a,b)$ hold ...
Tie-Hong Zhao   +2 more
doaj   +1 more source

Notes on matrix arithmetic–geometric mean inequalities [PDF]

open access: yes, 2000
For positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to hold for every unitarily invariant norm. The connection of this with some other matrix arithmetic–geometric mean inequalities and trace inequalities is ...
Rajendra Bhatia   +3 more
core   +1 more source

Automated Extraction of Multicomponent Alloy Data Using Large Language Models for Sustainable Design

open access: yesAdvanced Science, EarlyView.
A large language model (LLM) based pipeline is developed to automatically extract a comprehensive and accurate multicomponent alloy database from literature corpus. The extracted dataset is integrated with sustainability indicators to identify potential alloys that outperform existing industrial benchmark materials in terms of both performance and ...
Aravindan Kamatchi Sundaram   +4 more
wiley   +1 more source

Optimal Bounds for Neuman Mean Using Arithmetic and Centroidal Means

open access: yesJournal of Function Spaces, 2016
We present the best possible parameters α1,α2,β1,β2∈R and α3,β3∈(1/2,1) such that the double inequalities α1A(a,b)+(1-α1)C(a,b)
Ying-Qing Song   +2 more
doaj   +1 more source

On a result of Cartwright and Field

open access: yesJournal of Inequalities and Applications, 2018
Let Mn,r=(∑i=1nqixir)1r $M_{n,r}=(\sum_{i=1}^{n}q_{i}x_{i}^{r})^{\frac{1}{r}}$, r≠0 $r\neq 0$, and Mn,0=limr→0Mn,r $M_{n,0}= \lim_{r \rightarrow 0}M_{n,r}$ be the weighted power means of n non-negative numbers xi $x_{i}$, 1≤i≤n $1 \leq i \leq n$, with qi>
Peng Gao
doaj   +1 more source

The arithmetic mean preconditioner for multivector computers [PDF]

open access: yes, 1994
In this paper we consider the arithmetic mean preconditioner for the conjugate gradient method. This preconditioner is designed to be implemented on a multiprocessor system that can execute concurrently different tasks on vector processors.Some spectral ...
V. RUGGIERO, GALLIGANI, Emanuele
core  

Stem Cell Differentiation Disperses Transcriptional Clusters via a Conserved Surface‐Condensate Trajectory

open access: yesAdvanced Science, EarlyView.
Stem cell differentiation follows a conserved surface condensate trajectory: H3K27ac super enhancers nucleate large RNA polymerase II clusters that grow and unfold before transcriptional activity disperses them. This work reveals how biophysical forces at enhancer surfaces dynamically build and dismantle stem cell transcription hubs, reshaping cell ...
Tim Klingberg   +18 more
wiley   +1 more source

Sharp bounds for Seiffert mean in terms of weighted power means of arithmetic mean and geometric mean

open access: yes, 2014
For a,b > 0 with a = b , let P = (a− b)/(4arctana/b−π) , A = (a+ b)/2 , G = √ ab denote the Seiffert mean, arithmetic mean, geometric mean of a and b , respectively.
Zhen-Hang Yang
semanticscholar   +1 more source

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